On-shell supersymmetry and higher-spin amplitudes

Abstract

Abstract We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for N $$ \mathcal{N} $$ = 1, 2 and 4 theories. In particular, we derive the expressions for four-photon/gluon amplitudes with massive higher spin exchange in theories with N $$ \mathcal{N} $$ = 4 Supersymmetry in 3+1 dimensions.

Keywords

• Extended Supersymmetry
• Scattering Amplitudes
• Superspaces